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An isoperimetric inequality for a nonlinear eigenvalue problem

โœ Scribed by Gisella Croce; Antoine Henrot; Giovanni Pisante


Book ID
113453726
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
186 KB
Volume
29
Category
Article
ISSN
0294-1449

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An Isoperimetric Inequality and the Firs
โœ Josรฉ F Escobar ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

Let (M n , g) be a compact Riemannian manifold with boundary. In this paper we give upper and lower estimates for the first nonzero Steklov eigenvalue where & 1 is a positive real number. The estimate from below is for a star-shaped domain on a manifold whose Ricci curvature is bounded from below.